To find the range of temperatures in degrees Fahrenheit where the substance is not in a liquid state, we need to convert both the melting point and boiling point from Celsius to Fahrenheit and then determine the range outside of that interval.

Step 1: Convert melting and boiling points to Fahrenheit

The formula for converting Celsius to Fahrenheit is:

$F = \frac{9}{5}C + 32$

Melting Point:

The melting point is -47.76°C. Applying the conversion formula:

$F = \frac{9}{5}(-47.76) + 32$

Boiling Point:

The boiling point is 351.91°C. Applying the same formula:

$F = \frac{9}{5}(351.91) + 32$

I'll calculate these two values now.The melting point in Fahrenheit is approximately $-53.97^\circ F$, and the boiling point is approximately $665.44^\circ F$.

Step 2: Define the range where the substance is not in a liquid state

The substance is not in a liquid state when its temperature is below the melting point or above the boiling point. So, the temperature range for which the substance is not in a liquid state can be expressed as two conditions:

$x \leq -53.97 \quad \text{or} \quad x \geq 665.44$

Thus, the inequality representing the range of temperatures in degrees Fahrenheit for which the substance is not in a liquid state is:

$x \leq -53.97 \quad \text{or} \quad x \geq 665.44$

Would you like more details or have any questions?

Related Questions:

1. How do we convert Fahrenheit back to Celsius?
2. What is the temperature range in Celsius for which the substance is not in a liquid state?
3. How does pressure affect the boiling and melting points of a substance?
4. What is the significance of the freezing point in various substances?
5. Can you explain how phase transitions occur at molecular levels?

Tip: Always double-check unit conversions, as small errors can significantly affect results in real-world applications.